Niles
Mar9-08, 02:40 PM
1. The problem statement, all variables and given/known data
I am given a line integral:
\int (x^2+y^2)^2ds, where C is a circle of radius 3 with centre in (0;0).
Evaluate it.
3. The attempt at a solution
Ok, first I know (x^2+y^2)^2 = 81. So far, so good.
Then I know for an object in the xy-plane, ds = r*dr*d\theta. I just insert and use the correct limits, and do the integral?
Thanks in advance.
I am given a line integral:
\int (x^2+y^2)^2ds, where C is a circle of radius 3 with centre in (0;0).
Evaluate it.
3. The attempt at a solution
Ok, first I know (x^2+y^2)^2 = 81. So far, so good.
Then I know for an object in the xy-plane, ds = r*dr*d\theta. I just insert and use the correct limits, and do the integral?
Thanks in advance.